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Permutations and Combinations · Discussion forum

Hard Level Question 21 – answer, explanation & discussion

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Question 21 Back to Exercise

A garland is made of 6 different flowers, with two particular flowers side by side. How many different garlands are possible?

  • A 48
  • B 120
  • C 60
  • D 24 Correct
Correct Answer: Option D

Pair as one unit → 5 units in a circle: 4! = 24

Pair can swap: × 2 = 48

A garland can be turned over: ÷ 2 = 24

Trap: 48 forgets that a garland can be flipped.

Answer: 24

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